Convergence tests for series

Hi I was wondering if anyone could help me with a quick question:
If both and converge and both sums are equal what can you conclude about the two series?
If one of and converges and the other one diverges, which converges and which diverges?
Thanks

Re: Convergence tests for series

Originally Posted by Dragonkiller

Hi I was wondering if anyone could help me with a quick question:
If both and converge and both sums are equal what can you conclude about the two series?
If one of and converges and the other one diverges, which converges and which diverges?

There is a standard theorem that says: If a series converges absolutely then it converges conditionally.
i.e. If converges then converges.